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Finding the Fourth Proportional to 6,581.66, 9,872.69 and 2,881.98

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Solution

The fourth proportional to 6,581.66, 9,872.69 and 2,881.98 is: 4,323.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.66 : 9,872.69 = 2,881.98 : x
  2. Step 2: Convert to fraction form
    6,581.66/9,872.69 = 2,881.98/x
  3. Step 3: Cross multiply
    6,581.66x = 9,872.69 × 2,881.98
  4. Step 4: Simplify right side
    6,581.66x = 28,452,880.72
  5. Step 5: Solve for x
    x = 28,452,880.72/6,581.66
  6. Step 6: Final answer
    x = 4,323.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.